The diameter of a sphere is 6 , cm. It is mel | vedclass

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(C) The radius of the sphere $(r_s)$ is $6/2 = 3 \, cm$.The volume of the sphere is given by $V = \frac{4}{3} \pi r_s^3 = \frac{4}{3} \pi (3)^3 = 36 \

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$36$

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(C) The radius of the sphere $(r_s)$ is $6/2 = 3 \, cm$.The volume of the sphere is given by $V = \frac{4}{3} \pi r_s^3 = \frac{4}{3} \pi (3)^3 = 36 \pi \, cm^3$.The wire is in the shape of a cylinder. The radius of the wire $(r_w)$ is $0.2/2 = 0.1 \, cm$.Let the length of the wire be $l$. The volume of the wire is $V = \pi r_w^2 l = \pi (0.1)^2 l = 0.01 \pi l \, cm^3$.Since the sphere is melted to form the wire,their volumes are equal:$36 \pi = 0.01 \pi l$$l = \frac{36}{0.01} = 3600 \, cm$.Converting the length to meters: $3600 \, cm = 36 \, m$.

The diameter of a sphere is $6 \, cm$. It is melted and drawn into a wire of diameter $0.2 \, cm$. Find the length of the wire in meters $(m)$.

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